Rotationally-invariant slave-bosons for Strongly Correlated Superconductors

Abstract

We extend the rotationally invariant formulation of the slave-boson method to superconducting states. This generalization, building on the recent work by Lechermann et al. [Phys. Rev. B {\bf 76}, 155102 (2007)], allows to study superconductivity in strongly correlated systems. We apply the formalism to a specific case of strongly correlated superconductivity, as that found in a multi-orbital Hubbard model for alkali-doped fullerides, where the superconducting pairing has phonic origin, yet it has been shown to be favored by strong correlation owing to the symmetry of the interaction. The method allows to treat on the same footing the strong correlation effects and the interorbital interactions driving superconductivity, and to capture the physics of strongly correlated superconductivity, in which the proximity to a Mott transition favors the superconducting phenomenon.

18 pages, 7 figures

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Cited by in corpus (21)

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• Charge disproportionation, mixed valence, and Janus effect in multiorbital systems: A tale of two insulators
• Dynamical Mean Field Theory, Density-Matrix Embedding Theory and Rotationally Invariant Slave Bosons: a Unified Perspective
• Rotationally invariant slave-boson and density matrix embedding theory: A unified framework and a comparative study on the 1D and 2D Hubbard Model
• Altermagnetism from interaction-driven itinerant magnetism
• Rigorous symmetry adaptation of multiorbital rotationally invariant slave-boson theory with application to Hund's rules physics
• Numerical minimisation of Gutzwiller energy functionals
• State-of-the-art techniques for calculating spectral functions in models for correlated materials
• Accuracy of ghost-rotationally-invariant slave-boson theory for multiorbital Hubbard models and realistic materials
• Exact results with the Kotliar-Ruckenstein slave-boson representation
• Symmetry Breaking in Occupation Number Based Slave-Particle Methods
• Extended dynamic Mott-transition in the two-band Hubbard model out of equilibrium
• The time-dependent Gutzwiller theory for multi-band Hubbard models
• Multiple insulating phases due to the interplay of strong correlations and lattice geometry in a single-orbital Hubbard model
• A slave-boson mean-field theory for general multi-band Hubbard models
• Versatile Approach to the Spin Dynamics in Correlated Electron Systems
• Bond-dependent slave-particle cluster theory based on density matrix expansion
• Slave Boson Analysis on $f^2$-Configuration System with ${\Gamma }_1$ Singlet Crystalline-Electric-Field Ground State in Cubic Symmetry
• Efficient slave-boson approach for multiorbital two-particle response functions and superconductivity